Current location - Training Enrollment Network - Mathematics courses - 18 derivative formula in high school mathematics
18 derivative formula in high school mathematics
There are 18 derivative formulas in high school mathematics: (lnx)'= 1/x, (sinx)'=cosx, (cosx)'=-sinx.

(C)'=0,

(x^a)'=ax^(a- 1),

(a^x)'=(a^x)lna,a>0,a≠ 1; (e^x)'=e^x

Four operational formulas

(u+v)'=u'+v '

Derivation rule formula of composite function

y=f(t),t=g(x),dy/dx=f'(t)*g'(x)

Derivation formula for determining parameter equation function

x=f(t),y=g(t),dy/dx=g'(t)/f'(t)

Not all functions have derivatives, and a function does not necessarily have derivatives at all points. If the derivative of a function exists at a certain point, it is said to be derivative at this point, otherwise it is called non-derivative. However, the differentiable function must be continuous; Discontinuous functions must be non-differentiable.

Derivative Formula All derivative formulas in high school mathematics

1 high school mathematics derivative formula

1, original function: y=c(c is a constant)

Derivative: y'=0

2. Original function: y = x n

Derivative: y' = NX (n- 1)

3. Original function: y=tanx

Derivative: y' = 1/cos 2x

4. Original function: y=cotx

Derivative: y' =- 1/sin 2x

5. Original function: y=sinx

Derivative: y'=cosx

6. Original function: y=cosx

Derivative: y'=-sinx